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Finding the Fourth Proportional to 9,052.97, 12,491.42 and 5,825.62

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Solution

The fourth proportional to 9,052.97, 12,491.42 and 5,825.62 is: 8,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.97 : 12,491.42 = 5,825.62 : x
  2. Step 2: Convert to fraction form
    9,052.97/12,491.42 = 5,825.62/x
  3. Step 3: Cross multiply
    9,052.97x = 12,491.42 × 5,825.62
  4. Step 4: Simplify right side
    9,052.97x = 72,770,252.67
  5. Step 5: Solve for x
    x = 72,770,252.67/9,052.97
  6. Step 6: Final answer
    x = 8,038.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.